Mathematics Concentration | Liberal Studies Major | Concordia University Irvine

Liberal Studies

Mathematics Concentration

School of Education

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Curriculum

  • Liberal Studies Major: Mathematics Concentration
  • 12 Units
  • MTH 265: Introduction to Statistics
  • 3

As a basic statistics course applicable to education, business, and the hard sciences, this course will include topics such as descriptive statistics, the normal, binomial, F-, and Chi-squared distributions, and hypothesis testing. Optional topics might include additional non-parametric tests and ANOVA. A TI-83 graphing calculator or Microsoft Excel is required. Prerequisites: CMTH 101, MTH 201, MTH 252, MTH 271 or equivalent

  • Choose at least nine units from the following courses:
  • MTH 271: Calculus 1
  • 5

This course will study differential and integral calculus with applications including an emphasis on using calculus to solve problems. Lab time is included in the schedule. A graphing calculator is expected.  Prerequisite: Pre-Calculus or Trigonometry (or equivalent)

  • MTH 272: Calculus II
  • 4

A continuation of MTH 271, this course will include a study of integral calculus with and emphasis on the definite integral, transcendental, parametric, and polar-functions along with their derivatives and integrals, series, and sequences, and an introduction to differential equations. A graphing calculator is expected along with the ability to use appropriate computer software. Lab time is included in the schedule. Prerequisite: MTH 271 (C or higher) or acceptable AP examination credit

  • MTH 313: Mathematical Notation and Proof
  • 3

This course will introduce standard mathematical notation, methods, truth tables, and principles of symbolic logic for use in determining the validity of arguments, dealing with proper notation and structure in mathematical proofs including direct and indirect proofs, mathematical induction, and construction of counter-examples. Application will be made to a field of mathematics such as set theory, algebra, or geometry.

  • MTH 371: Linear Algebra
  • 3

This course will study properties of matrix arithmetic, systems of linear equations, determinants, vector spaces, linear transformations, diagonalization, inner products, and applications of these topics. Prerequisite: MTH 272 or appropriate advanced placement examination grade.

  • MTH 387: Probability and Statistics I
  • 3

This course will look at the probability and combinatorics; discrete and continuous random variables; the normal, gamma, Chi-square, Poisson, and binomial distributions with applications. Offered alternate years.

  • MTH 473: Modern Algebra I
  • 3

This course will study the properties and operations within groups, rings, integral domains, fields, normal subgroups, quotient groups, homomorphisms, and isomorphisms. Prerequisite: MTH 373. Offered alternate years.

  • MTH 495: Topics in Mathematics - Review
  • 1.5

As the first of two (2) capstone courses for all mathematics majors, students will meet as a group once per week to review competencies in the major, take group-wide assessments, and complete a preliminary research abstract on a topic of their choice as they work with a faculty mentor followed by a short presentation to their peers and faculty regarding their preliminary findings for reaction and feedback. Prerequisite: Senior standing.

  • MTH 496: Topics in Mathematics - Final
  • 1.5

As the second of two (2) capstone courses for all mathematics majors, students, working with a faculty mentor, will complete their research from MTH 495 on a written project and present their findings to a committee of peers and faculty. Inclusion of the research project in the President's Academic Showcase for Undergraduate Research is encouraged. Prerequisite: Senior standing.

See requirements for Liberal Studies major coursework.

Current students, please note: The requirements listed here may not reflect the most current courses for this major and may not be the requirements for the catalog year you are following to complete your major. Please refer to the Academic Catalog for official requirements you must meet to qualify for a degree.


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